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Finding the Third Proportional to 758,198 and 1,633,900

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Solution

The third proportional to 758,198 and 1,633,900 is: 3,521,018.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,198 : 1,633,900 = 1,633,900 : x
  2. Step 2: Convert to fraction form
    758,198/1,633,900 = 1,633,900/x
  3. Step 3: Cross multiply
    758,198x = 1,633,900 × 1,633,900
  4. Step 4: Simplify right side
    758,198x = 2,669,629,210,000
  5. Step 5: Solve for x
    x = 2,669,629,210,000/758,198
  6. Step 6: Final answer
    x = 3,521,018.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.